\documentclass[E:/GsjzTle/main/main.tex]{subfiles}

\begin{document}

\begin{itemize}
\item
  \(A_{n}^{m}=n\left( n-1\right) \ldots \left( n-m+1\right) =\dfrac{n!}{\left( n-m\right) !}\)
\item
  \(C_{n}^{m}=\dfrac{A_{n}^{m}}{m!}=\dfrac{n!}{m!\left( n-m\right) !}=C_{n}^{n-m}\)
\item
  \(C_{n+1}^{m}=C_{n}^{m}+C_{n}^{m-1}\)
\item
  \(C_{n}^{0}+C_{n}^{1}+C_{n}^{2}+\ldots +C_{n}^{n}=2^{n}\)
\item
  \((x+1)^n=C^{0}_{n}+C^{1}_{n}x+C^{2}_{n}x^2+...+C^{n}_{n}x^n\)
\end{itemize}

\end{document}
